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Finding the Fourth Proportional to 3,516.16, 5,271.83 and 1,323

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Solution

The fourth proportional to 3,516.16, 5,271.83 and 1,323 is: 1,983.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,516.16 : 5,271.83 = 1,323 : x
  2. Step 2: Convert to fraction form
    3,516.16/5,271.83 = 1,323/x
  3. Step 3: Cross multiply
    3,516.16x = 5,271.83 × 1,323
  4. Step 4: Simplify right side
    3,516.16x = 6,974,636.88
  5. Step 5: Solve for x
    x = 6,974,636.88/3,516.16
  6. Step 6: Final answer
    x = 1,983.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.